Lets use sine as a randomness provider to generate a infinite sequence of random numbers with no state:
1. Sine wave:
sin(x)
2. Sample the wave by an non linear expression in order to avoid the linear repeat pattern of the sine:
sin(x ** 3)
3. Extract only the values at integer points that represent the indexes of the random numbers in the sequence:
sin(floor(x) ** 3)
4. Map the optional seed to the 0-1 range and added multiplied by 2PI in the sample location:
sin((floor(x) + seed * 2 * Math.PI) ** 3)
Graph of each:
done_